Article citationsMore>>

Nishimura, H. and Osoekawa, T. (2007) General Jacobi Identity Revisited Again. International Journal of Theoretical Physics, 46, 2843-2862.
https://doi.org/10.1007/s10773-007-9397-z

has been cited by the following article:

• TITLE: Synthetic Differential Geometry (SDG) of Stacks - Categorification of SDG

  AUTHORS: Hirokazu Nishimura

  KEYWORDS: Synthetic Differential Geometry, Categorification, Categorical Ambrose-Palais-Singer Theorem, Categorical Lie Algebra of Infinitesimal Endofunctors and Infinitesimal Natural Transformations, Categorical Differential Form

  JOURNAL NAME: Applied Mathematics, Vol.17 No.8, August 18, 2026

  ABSTRACT: Orthodox synthetic differential geometry is concerned with microlinear spaces. This paper explains how to develop synthetic differential geometry of microlinear stacks or microlinear categories. As illustrations, we will address the categorical Lie algebra of infinitesimal endofunctors and infinitesimal natural transformations, the theory of differential forms and the categorified Ambrose-Palais-Singer theorem. In this paper, we use the word “stack” as a synonym of “category”.